Low angular resolution maps of the Galactic bulge at 1.25, 2.2,
3.5, and 4.9 micrometers obtained by the Diffuse Infrared Background
Experiment (DIRBE) onboard NASA's Cosmic Background Explorer (COBE)
are presented. After correction for extinction and subtraction of an
empirical model for the Galactic disk, the surface brightness
distribution of the bulge resembles a flattened ellipse with a
minor-to-major axis ratio of approximately 0.6. The bulge minor axis
scale height is found to be 2.1 deg +/- 0.2 deg for all four
near-infrared wavelengths. Asymmetries in the longitudinal
distribution of bulge brightness contours are qualitatively consistent
with those expected for a triaxial bar with its near end in the first
Galactic quadrant (0 deg less than l less than 90 deg). There is no
evidence for an out-of-plane tilt of such a bar.